UNAUTH UNCOORD ENTRY INTO CLASS B AIRSPACE BY A C90 CPR PLT DURING A SE DEP FROM JYO; VA.

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DURING TAXI; I RECEIVED A FULL RTE CLRNC FROM WASHINGTON CLRNC DELIVERY. WE WERE TAXIING OFF FROM YRO; VA. IT WAS A VERY IN-DEPTH CLRNC. I HAD TO READ IT BACK TWICE. I WAS ENTERING THE WAYPOINT IN THE GPS. I WAS #1 FOR TKOF. IF I DIDN'T GO; I WOULD HAVE HAD TO WAIT. I DIDN'T GET ALL OF THE WAYPOINTS INTO THE COMPUTER AND I WAS AIRBORNE. ONCE I WAS AIRBORNE; I LOOKED FOR THE CLRNC THAT I HAD WRITTEN DOWN. IT HAD STOPPED UNDER THE SEAT. I LOOKED FOR IT; BUT BY THAT TIME I HAD ALREADY PENETRATED DULLES AIRSPACE. I WAS TOLD TO MAKE A R TURN AND THEN THE CTLR CAME BACK AND SAID 'XXXX; TURN TO 360 DEGS.' I MADE A HARD R TURN TO N. BY THAT TIME THEY HAD TO BREAK AN ACFT OFF THE APCH INTO DULLES; WASHINGTON; DC. AFTER THE TURN TO 360 DEGS; I WAS INFORMED THAT I WOULD NEED TO CALL APCH CTL WHEN I GOT ON THE GND. I HAVE ONLY BEEN UP INTO THAT AREA ONCE BEFORE BUT I WAS NOT PIC; AND IT WAS TO ANOTHER ARPT BESIDES LEESBURG. THIS RPT IS TO LET YOU KNOW THAT I PENETRATED WASHINGTON; DC; DULLES AIRSPACE WITHOUT CLRNC AND THEY HAD TO DEVIATE ACFT BECAUSE I WAS UNFAMILIAR WITH THE AIRSPACE. I HAD 5 PAX -- 1 WAS IN THE R SEAT OF THE COCKPIT WHEN THE INCIDENT OCCURRED.